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Finding the Fourth Proportional to 3,273.80, 4,900.80 and 2,540.12

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Solution

The fourth proportional to 3,273.80, 4,900.80 and 2,540.12 is: 3,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.80 : 4,900.80 = 2,540.12 : x
  2. Step 2: Convert to fraction form
    3,273.80/4,900.80 = 2,540.12/x
  3. Step 3: Cross multiply
    3,273.80x = 4,900.80 × 2,540.12
  4. Step 4: Simplify right side
    3,273.80x = 12,448,620.10
  5. Step 5: Solve for x
    x = 12,448,620.10/3,273.80
  6. Step 6: Final answer
    x = 3,802.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.